Vladislav Popkov: Effective evolution of an open quantum system in Zeno regime

October 16 @ 2:00 pm - 4:00 pm

We consider a Lindblad time evolution of an open quantum system with dissipation acting on a subset of the degrees of freedom H0, and targeting a unique dark state in H0. It is argued, that in the Zeno limit of strong dissipation, the density matrix of the system traced over the dissipative subspace H0, evolves according to another Lindblad dynamics, with an effective Hamiltonian and weak effective dissipation. This, in turn, allows to calculate the steady state in Zeno limit via a diagonalization of the effective Hamiltonian.